tennessee standards awareness workshop math-grades 9-12 type presenter name here!!!!! day 2-pm

Tennessee Standards Awareness WorkshopMath-Grades 9-12Type Presenter Name HERE!!!!!Day 2-PM

M and M Activity: IntroductionWhen the new standards are implemented in the 2009-2010 school year, teachers must be more creative in how the review of topics is embedded into the instruction of new material.Think about what skills are you reviewing if you used this activity in Algebra I when teaching the concept exponential functions.

M and M Mini ActivityPour M & M minis on the table.Use a paper towel so you can eat the ones you are discarding!Count the original number of M & MsEliminate the ones with no M showingShake the remaining M & Ms and repeat until none are left.Complete the chart and create a scatterplot. Two grids are provided.

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ReflectionREVIEWWhat skills and concepts would be reviewed if this activity were used in Algebra I?What DOK level?How could we integrate more review?NEWWhat NEW concepts and skills would be taught if this activity were used in Algebra I? (Exponential functions/nonlinear functions)What DOK level?How could we make the activity more challenging?

DOK Workout!The Pythagorean Theorem is one topic that is addressed in almost all high school mathematics courses.Examine the following questions from a MILLIONAIRE game.What DOK level is each question?What makes it a Level 1, 2, 3, or 4 question?What would you ask a student to determine if he or she really gets it?

Geometry Standard THE PYTHAGOREAN THEOREMTO INFINITY AND BEYOND!!!!!!!!!

Many have tried to prove it! Some old and some new guys

WHO WANTS TO BEA MILLIONAIRE ?????

$100 QUESTION The two legs of a right triangle have measurements of 5 and 12, what is the measure of the hypotenuse?

$200 QUESTIONFind the length of the leg of a right triangle if the hypotenuse is 17 and its other leg is 8.

$300 QUESTIONFind the length of a diagonal of a rectangle whose dimensions are 12 and 16 (think about a television set)

$500 QUESTIONFind the length of the diagonal of a square flower garden with a perimeter of 24 ft. Leave the answer in radical form.

$1000 QUESTION Find the perimeter of a rhombus with diagonals of 24 and 32 cm each.

$2000 QUESTIONIf Big Al Capone takes a jog 2 km north, then 6km west, followed by a 4 km north track and 2 more km west, how far is he from his starting point if he decides to go straight.

$4000 QUESTION If 4 and 6 are two sides of a right triangle, find the two possible lengths for a third side. Leave answers in simplified radical form.

$8000 QUESTIONFind the length of the altitude of an equilateral triangle with a perimeter of 12 centimeters.

$16000 QUESTIONA trapezoid has parallel bases of 13 and 21 inches long. The longer of the two non- parallel sides is 17inches long and the shorter side is perpendicular to the parallel sides. Find its length.

$32000 QUESTIONA model rocket is shot up to a point where it hits a tree about 30 meters above the ground and drops straight down to a point 20 meters from its launch site. Find the total distance from launch to touchdown. Round to the nearest tenth.

$64000 QUESTIONFind the altitude of an isosceles trapezoid whose sides have lengths of 10,30,10 and 20. Leave answer in simplified radical form.

$125000 QUESTIONThe lengths of a rhombus diagonals are in ratio of 2:1. If the perimeter of the rhombus is 20, find the lengths of both diagonals in simplified radical form if necessary.

$250000 QUESTIONIn a right triangle, the legs have measures of 2X+6 and 3X-6. The hypotenuse is 4X-3. Find the value of X algebraically along with the lengths of all three sides.

$500000 QUESTIONWoody Woodpecker pecked at a 17 meter wooden pole until it cracked and the upper part fell, with the top hitting the ground ten meters from the foot of the pole. Since the upper part had not completely broken off, Woody pecked away where the pole had cracked. How far above the ground was Woody pecking? Round to the nearest tenth.

$1000000 QUESTIONA scalene triangle has sides with lengths of 13,14,and 15 inches. Find the length of the altitude to the 14 inch side algebraically.

ACKNOWLEGEMENTSTextbooks of the olden days.Geometry, Jurgenson, Donelly, Maier, Rising Houghton Mifflin 1975.Geometry, Moise and Downs, Addison Wesley 1991.Geometry for Enjoyment and Challenge, Rhoad, Milauskas, and Whipple McDougal Littell 1991.Discovering Geometry, Michael Serra Key Curriculum Press 1993.Geometry Harold Jacobs, W.H.Freeman 1987

Additional Resources78 Ways to Prove the Pythagorean Theoremhttp://www.cut-the-knot.org/pythagoras/index.shtmlProject Mathematics Video Clipshttp://www.projectmathematics.com/pythag.htmPythagorean Theorem Projecthttp://www.emsc.nysed.gov/nysatl/Math/pythagorean/html/proce.html

More ResourcesAnother Projecthttp://faculty.prairiestate.edu/skifowit/htdocs/projects/c09.htmCTAP IV Pythagorean Theorem Pagehttp://www.ctap4.org/math/unpack/Pythagoras/index.htmWolfram Demonstration Projecthttp://demonstrations.wolfram.com/EuclidsProofOfThePythagoreanTheorem/

Geometers SketchpadIf you dont have a copy, you may download a DEMO version for free!http://www.dynamicgeometry.com/Instructor_Resources/Evaluation_Edition.html

BREAK at 2:00Be back at 2:15!

What is a simulation?THINK-PAIR-SHAREOne minute to write down your definition of a simulation.One minute to get with a partner and discuss your definitions.SHARE---Some partners will be asked to SHARE!

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PAIRDiscuss your definition with a partner!One minute!

What is a good definition of a simulation???????

SimulationSimulation is a way to model random events, such that simulated outcomes closely match real-world outcomes. By observing simulated outcomes, researchers gain insight on the real world.A simulation is useful only if it closely mirrors real-world outcomes.

How to Conduct a SimulationDescribe the possible outcomes. Link each outcome to one or more random numbers. Choose a source of random numbers. Choose a random number. Based on the random number, note the "simulated" outcome. Repeat steps 4 and 5 multiple times; preferably, until the outcomes show a stable pattern. Analyze the simulated outcomes and report results.

Basketball Shots on the LinePage 131-132Use the Random Number Generator on page 133How will we use this table?20 minutes to complete this activity!

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How could we conduct this simulation on a Graphing Calculator?Any ideas????

If TimeTake Me out the Ball GameGraphing Calculator Simulation

Reflection TimeWhere is the idea of simulation found in the New Standards?Work with a partner and complete the handout on page 1425 minutes

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POP QUIZ!p.1432 minutes!

POP QUIZ #2P.1442 minutes

The Big IdeaYou as a teacher---YOU MATTER!We remember those who touched our lives!A reliable body of research exists which shows the biggest influence on student achievement is teacher quality.A good teacher has the power to make all the difference in student achievement.

10 Best PracticesHANDOUT on page 145Using these best practices will help you to become a better teacher..to help you to be remembered by your students!

FINAL RELECTION of the DAYP. 147 REFLECTION HANDOUT

HomeworkSpend no more than 1 hour on this assignmentRead Chapters 1 and 6 in the Marzano book. Read Chapter 11 if you have time.Complete the Study Guide pages found in your notebook.

*Change the name of the presenter on this slide!The person on the right is President Garfield.*

tennessee standards awareness workshop math-grades 9-12 type presenter name here!!!!! day 2-pm

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